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Appending three extra (binary) bits to a 4-bit word in a particular way (a Hamming Code) allows detection and correction of up to 1 error in any of the bits. If each bit has a probability of .05 of being changed during the communication, and if the bits are changed independently of each other, what is the probability that the word is correctly received (that is, 0 or 1 bit is in error)? How does this probability compare to the probability that the word will be received correctly if we didn't use check bits, in which case all 4 bits would have to be received correctly for the word to be correct?
A researcher believes that if she uses a different text the students will score differently on the standardized test but she doesn't know what the difference is.
Thirty accidents of these vans were examined, and 11 vans had rolled over. Test the claim that the proportion of rollovers exceeds.
Do you think a sample of 25 is large enough to give them the margin of error they want? If not, how large a sample do you suggest they take?
In a random sample of 53 concrete specimens, the average porosity (in percent) was 21.6 and the standard deviation was 3.2. a) Find a 90% confidence interval for the mean porosity of specimens of this type of concrete.
There are 40 English students enrolled. The teacher questioned 5 students who always sit in the back of the classroom. Three of the 5 said "yes" when asked if they would like "A Tale of Two Cities" as the next class reading assignment.
A local group claims that the police issue more than 60 speeding tickets a day in their area.
Construct a 95% confidence interval estimate for the mean yield of five-year certificates of deposit.
Find the number z such that 22% of all of observations that are less than z in a standard observations from a standard normal normal distribution is 0.98.
Support colour-coding on packaged food to indicate healthier options
I want to establish if a new product is worth marketing. At least 85 percent of the public must express interest in the product and for those that do the average cost they are willing to pay must be at least $47.50.
The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies.
In checking the quality of the work, she notices that some slight blemishes occasionally are apparent. A sample of 20 pieces of work resulted in the following number of blemishes on each piece:
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